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Which of the following statement about t...

Which of the following statement about the sum of the two vectors `vecA " and " vecB`, is/are correct ?

A

`|vecA+vecB|leA+B`

B

`|vecA+vecB|ge A+B`

C

`|vecA+vecB|ge|vecA-vecB|`

D

`|vecA+vecB|ge|A-B|`

Text Solution

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The correct Answer is:
A, D
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Knowledge Check

  • Select the statement about two vector vecA and vecB .

    A
    Max value of `|vecA+vecB|` = max value of `|vecA-vecB|`
    B
    Max value of `|vecA+vecB|` = max value of `|vecA-vecB|`
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    Insufficient information provided.
  • The value of the sum of two vectors vecA and vecB with theta as the angle between them is

    A
    `sqrt(A^(2)+B^(2)+2ABcos theta)`
    B
    `sqrt(A^(@)-B^(2)+2ABcostheta)`
    C
    `sqrt(A^(@)+B^(2)-2ABsintheta)`
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  • Which of the following is the unit vector perpendicular to vecA and vecB

    A
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    B
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    C
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    D
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